Let ( , )=�25(2 +3 ) 0≤ ≤1,0≤ ≤1 0 h ( , ) =� 2 −1≤ ≤1− , 0≤ ≤1 0 elsewhere i. find covariance and correlation coefficient of x and y a. find . b. find (1/2, 1/2). c. find (1/2, 2). d. find p(x > y). e. find marginal densities of x and y. f. find conditional densities of | = and | = . g. find [ | = ] and [ | = ]. h. are x and y independent? a. find the probability [ > + 1]. b. find the marginal densities ( ) and ( ). c. are x and y independent? explain. d. find the conditional densities | = ( ) and | = ( ). e. find the probability [ < 1/4| = 1/2]. f. find [ | = 1/2]. 0 h a. find the marginal densities fx (x) and ( ). b. find the conditional density function of y given x = 0.5. c. are the random variables x and y independent? explain. d. find ( , ) and the correlation coefficient . 8. finish the example from class:

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2x^2+5x+17

your welcome. : )

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!